The average high card point count for any hand is 10 and the average high card point count for any partnership is 20. Once a player has determined the high card point count in his holding, or x HCPs, then the assumption is made that the remaining high card points are distributed equally among the other three players, or 1/3 of 40 - x for each remaining player.

Probabilities can be calculated for the various possible high card point counts, since the individual holdings vary from the defined averages. The following charts are the calculations for these probabilities.

Probabilites Of High Card Points For One Hand
High Card Points   Percentage High Card Points   Percentage
0   .364   19   1.036
1   .789   20   .644
2   1.356   21   .378
3   2.462   22   .210
4   3.845   23   .112
5   5.186   24   .056
6   6.554   25   .026
7   8.892   26   .012
8   8.892   27   .0049
9   9.356   28   .0019
10   9.405   29   .00067
11   9.945   30   .00022
12   8.027   31   .00006
13   6.914   32   .00002
14   5.693   33   .000004
15   4.424   34   .0000007
16   3.311   35   .0000001
17   2.362   36   .000000009
18   1.605   37   .0000000006

No bridge hand of 13 cards can hold more than 37 high card points. For example:

South
AKQ
AKQ
AKQ
AKQ

Now add a Jack to any of the four suits. The total will always equal 37 high card points.

Probabilities Of High Card Points For A Partnership
High Card Points   Percentage High Card Points   Percentage
0   .00005   21   8.047
1   .0005   22   7.566
2   .002   23   6.831
3   .006   24   5.907
4   .018   25   4.892
5   .043   26   3.883
6   .093   27   2.943
7   .196   28   2.124
8   .341   29   1.463
9   .588   30   .955
10   .955   31   .588
11   1.463   32   .341
12   2.124   33   .186
13   2.943   34   .093
14   3.983   35   .043
15   4.892   36   .018
16   5.907   37   .006
17   6.931   38   .002
18   7.566   39   .0005
19   8.047   40   .00005
20   8.222        

 


If you wish to include this feature, or any other feature, of the game of bridge in your partnership agreement, then please make certain that the concept is understood by both partners. Be aware whether or not the feature is alertable or not and whether an announcement should or must be made. Check with the governing body and/or the bridge district and/or the bridge unit prior to the game to establish the guidelines applied. Please include the particular feature on your convention card in order that your opponents are also aware of this feature during the bidding process, since this information must be made known to them according to the Laws of Duplicate Contract Bridge. We do not always include the procedure regarding Alerts and/or Announcements, since these regulations are changed and revised during time by the governing body. It is our intention only to present the information as concisely and as accurately as possible.

 


     
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